Holdom Corporation's next dividend will be $$2\mathrm{.}45$ per share. The company will increase its dividend $20\%$ the year after and will then reduce its dividend growth rate by $5$ percentage points per year until it reaches the industry average of $5\%$ dividend growth, after which the company will keep a constant growth rate forever. If the required return for investors is $11\%,$ what will a share of stock sell for today?

a$.$

$$56\mathrm{.}11$

b$.$

$$54\mathrm{.}20$

c$.$

$$58\mathrm{.}02$

d$.$

$$52\mathrm{.}39$

e$.$

$$50\mathrm{.}48$